Deterministic and Probabilistic Dynamics
of
Nonlinear Dispersive PDEs
14-16 June 2023
Maxwell Institute
for Mathematical Sciences
Edinburgh, UK
Maxwell Institute
brings together research activities in mathematical sciences at Edinburgh and Heriot-Watt Universities
List of speakers :
- Joackim Bernier (Nantes Université, France)
- Stefan Le Coz (Université Toulouse III - Paul Sabatier, France)
- Guopeng Li (Maxwell Institute, Edinburgh, UK)
- Rui Liang (University of Birmingham, UK)
- Ruoyuan Liu (The University of Edinburgh, UK)
- Tadahiro Oh (The University of Edinburgh, UK)
- Tristan Robert (Université de Lorraine, France)
- Boris Shakarov (Gran Sasso Science Institute, Italy)
- Nikolay Tzvetkov (ENS Lyon, France)
- Frédéric Valet (University of Bergen, Norway)
- Nicola Visciglia (Università Degli Studi di Pisa, Italy)
- Yuzhao Wang (University of Birmingham, UK)
Venue:
-
Meeting room
Ground floor, to the right as one enters the building
13-15 South College Street
EH8 9AA, Edinburgh, UK
Registration:
Organizers:
- Oana Pocovnicu (Heriot-Watt University, UK)
- Leonardo Tolomeo (University of Edinburgh, UK)
- Guopeng Li (Maxwell Institute, UK)
- Younes Zine (University of Edinburgh, UK)
Acknowledgements:
- This event is supported by the EPSRC New Investigator Awards (grant no. EP/S033157/1).
| Wednesday, 14 June: |
| |
| 1pm - 2pm | Stefan Le Coz (Université Toulouse III - Paul Sabatier, France) | |
|
Stability of the multi-solitons of the modified Korteweg-de Vries equation
| ||
| 2pm - 3pm | Frédéric Valet (University of Bergen, Norway) | |
|
Collision of two solitary waves for the Zakharov-Kuznetsov equation
| ||
| 3pm - 3:30pm | Rui Liang (University of Birmingham, UK) | |
|
Optimal divergence rate of the focusing Gibbs measure for
fractional NLS on the torus
| ||
| 3:30pm - 4pm | Coffee break | |
| 4pm - 5pm | Boris Shakarov (Gran Sasso Science Institute, Italy) | |
|
Stability of cnoidal waves for the damped nonlinear Schrödinger equation
| ||
| 5pm - 6:30pm |
Wine reception and poster session with posters by:
| |
| Joseph Adams (Düsseldorf): Low-regularity well-posedness theory for the zero energy Novikov-Veselov equation | ||
| Engin Basakoglu (Birmingham): Smoothing and global attractors for the Hirota-Satsuma system on torus | ||
| Alberto Bonicelli (Pavia): Stochastic nonlinear Schrödinger equation, a microlocal and algebraic viewpoint | ||
| James Coe (Edinburgh): Quasi-invariance results on the cubic Szegő equation with Gaussian initial data
|
||
|
Thursday, 15 June:
| ||
| 9:30am - 10am |
Coffee, tea, pastries and fruits
| |
| 10am - 11am | Nikolay Tzvetkov (ENS Lyon, France) | |
|
Weak universality results for a class of nonlinear wave
equations
| ||
| 11am - 12pm | Tadahiro Oh (The University of Edinburgh, UK) | |
|
Pathwise well-posedness of singular stochastic dispersive
PDEs with multiplicative noises
| ||
| 12pm - 1:30pm | Lunch
| |
| 1:30pm - 2:30pm | Nicola Visciglia (Università Degli Studi di Pisa, Italy) | |
|
Growth of Sobolev norms and quasi-invariance of Gaussian
measures along the 1-d periodic NLS flow
| ||
| 2:30pm - 3:30pm | Ruoyuan Liu (The University of Edinburgh, UK) | |
|
Local well-posedness of a quadratic nonlinear Schrödinger equation on the two-dimensional torus
| ||
| 3:30pm - 4pm | Coffee break
| |
| 4pm - 5pm | Guopeng Li (Maxwell Institute, Edinburgh, UK) | |
|
Convergence of the intermediate long wave equation from a
statistical perspective
| ||
| 6pm | Dinner at The Outsider
| |
|
Friday, 16 June:
| ||
| 9am - 10am | Tristan Robert (Université de Lorraine, France) | |
|
Path-wise regularization by noise for some nonlinear
dispersive PDEs
| ||
| 10am - 10:30am |
Coffee break
| |
| 10:30am - 11:30am | Joackim Bernier (Nantes Université, France) | |
|
Dynamics of Hamiltonian PDEs in low regularity
| ||
| 11:30am - 12:30pm | Yuzhao Wang (University of Birmingham, UK) | |
|
Gibbs measure for NLS with a trapping potential
| ||
| 12:30pm - 2pm | Lunch
| |